The velocity vector field for a fluid flowing in double-struck r3 is given by v = xz, −yz, y m/s. let s be the oriented surface that is the portion of the plane x + y + z = 4 in the first octant with upward orientation n. compute the amount of fluid crossing s per second in the direction of n.

What effect would doubling all the dimensions of a triangular pyramid have on the volume of the pyramid? explain your reasoning.

Asix-sided number cube is rolled twice. what is the probability that the first roll is an even numbe and the second roll is a number greater than 4?

Match the vocabulary to the proper definition. in probability, two events in which 1. conditional probability the outcome of one event is independent of the outcome of a second event. 2. dependent events in probability, two events in which the outcome of one event is dependent on the outcome of a second event. the probability of an event in which the outcome of the event is conditional on the outcome of one or more different events. 3. independent events